Question

Find the length of the unknown side x​

Answer 1

37.0469 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] tanθ = opposite over adjacent

Explanation:

Step 1: Identify

Angle θ = 39°

Opposite Leg = 30

Adjacent Leg = x

Step 2: Solve for x

1. Substitute in variables [tangent]:
   `\displaystyle tan39^\circ = (30)/(x)`
2. Cross-multiply:
   `\displaystyle x = (30)/(tan39^\circ)`
3. Evaluate:
   `\displaystyle x = 37.0469`